Please help me solve for x
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The tangent plane equation of tangent plane is
z = x - 6y -1
This is further explained below.
What is the equation of the tangent plane to the surface z=ln(x-6y) at the point(7,1,0)?
Generally, Given surface is z = ln(x − 6y) ,
Given point is = (7, 1, 0)
partially differentiating with respect to x
== >zx = [1/(x - 6y)] (1) = 1/(x - 6y)
zx (7 , 1 , 0) = 1/(7 - 6(1)) = 1
Partially differentiating with respect to y
zy = [1/(x - 6y)] (-6)
zy = -6/(x - 6y)
zy(7 , 1 , 0) = -6/(7 - 6(1)) = -6
Equation of tangent plane is z - = zx(x -
) + zy(y -
)
z - 0 = 1(x - 7) + (-6)(y - 1)
z = x - 7 -6y + 6
z = x - 6y -1
In conclusion, equation of tangent plane is z = x - 6y -1
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Given mapping is a function.
Domain:
Range:
Step-by-step explanation:
By observing Marco's mapping diagram we can see that every value in time is mapped to only one value in the cost. This means that there will be no repetition or same output to two different outputs so given mapping is a function.
<u>Domain:</u>
Domain is the set of all inputs of a function. Here time is input so domain of function is:
<u>Range:</u>
Range is the set of all outputs of the function on domain so the range of the given function is:
Hence,
Given mapping is a function.
Domain:
Range:
Keywords: Domain, range, function
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